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Finding the Fourth Proportional to 15,123.73, 20,870.20 and 8,409.64

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Solution

The fourth proportional to 15,123.73, 20,870.20 and 8,409.64 is: 11,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.73 : 20,870.20 = 8,409.64 : x
  2. Step 2: Convert to fraction form
    15,123.73/20,870.20 = 8,409.64/x
  3. Step 3: Cross multiply
    15,123.73x = 20,870.20 × 8,409.64
  4. Step 4: Simplify right side
    15,123.73x = 175,510,868.73
  5. Step 5: Solve for x
    x = 175,510,868.73/15,123.73
  6. Step 6: Final answer
    x = 11,605.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.